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Brian McLogan
Solve an equation with fractional powers by raising both side to the reciprocal power
👉 Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Brian McLogan
Simplifying the quotient of the cube root of two expressions by rationalizing the denomi
👉 Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Brian McLogan
Simplifying a radical expression by using prime factorization of the number
👉 Learn how to find the 3rd root of an expression. To find the 3rd root of an expression, if the exponent of the expression is a multiple of 3, then the 3rd root of the expression is the base of the expression with an exponent that is...
Brian McLogan
Pre-Calculus - Using Properties of Logs to Simplify a Logarithmic Expression Without a Calculator
👉 Learn how to evaluate logarithms with radicals. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n =...
Brian McLogan
Pre-Calculus - Evaluating a Natural Logarithm when Given a Root
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a)....
Brian McLogan
Why do we have to include the abs of an even root
👉 Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the...
Brian McLogan
Write the equation of the cube root function given transformations
Write the equation of the cube root function given transformations
Brian McLogan
Using prime factorization to simplify the cube root of an expression
👉 Learn how to find the 3rd root of an expression. To find the 3rd root of an expression, if the exponent of the expression is a multiple of 3, then the 3rd root of the expression is the base of the expression with an exponent that is...
Brian McLogan
Learn how to divide two radical expressions without rationalizing the denominator
👉 Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Brian McLogan
Learn how to take the cube root of a variable exponent, cube root(x^7)
👉 Learn how to find the 3rd root of an expression. To find the 3rd root of an expression, if the exponent of the expression is a multiple of 3, then the 3rd root of the expression is the base of the expression with an exponent that is...
Brian McLogan
How to solve an equation with fraction powers in your exponent
👉 Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Brian McLogan
Learn how to use the division property of radical expression to simplify
👉 Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Brian McLogan
Learn how to subtract two radical expressions together
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Simplify the quotient of the square root of two numbers, sqrt(60) / sqrt(10)
👉 Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Brian McLogan
How to divide the cube root of a rational expression by rationalizing the denominator
👉 Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Brian McLogan
How to simplify a exponent with a negative rational power
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Brian McLogan
Dividing two radical expressions together by dividing them first
👉 Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Brian McLogan
Learn how to rewrite an exponent with a fraction power as an radical expression
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Brian McLogan
Math tutorial for solving an equation with a fractional exponent
👉 Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Brian McLogan
Learn how to solve an equation with a rational power by cubing both sides
👉 Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Brian McLogan
Learn how to verify two functions if they are inverses of each other or not
👉 Learn how to show that two functions are inverses. The composition of two functions is using one function as the argument (input) of another function. In simple terms composition of two functions is putting one function inside another...
Brian McLogan
How to write the inverse of a power function
👉 Learn how to find the inverse of a cubic function. A cubic function is a function whose highest exponent in the variable(s) of the function is 3. The inverse of a function is a function that reverses the "effect" of the original...
Brian McLogan
How to take the cube root of a negative algebraic expression
👉 Learn how to find the 3rd root of an expression. To find the 3rd root of an expression, if the exponent of the expression is a multiple of 3, then the 3rd root of the expression is the base of the expression with an exponent that is...